To find the slope of the line given by the equation \( y - 10 = -5(x + 20) \), we can recognize that this is in point-slope form, which is given by:
\[ y - y_1 = m(x - x_1) \]
where \( m \) is the slope. In your equation, the slope is directly represented by the coefficient of \( x \).
Rearranging the equation:
\[ y - 10 = -5(x + 20) \]
We can isolate \( y \):
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Distribute \(-5\): \[ y - 10 = -5x - 100 \]
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Add 10 to both sides: \[ y = -5x - 90 \]
Now, it's clear that the slope \( m \) is \(-5\).
Thus, the slope of the line is:
−5 (negative 5).